If the maximum value of y=1+hx−3x2 y = 1 + h x − 3 x 2 is 13 13 , find h h .

Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

Find the value of x for which the function y = x3 - x has a minimum value.

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

What is the derivative of t2 sin (3t - 5) with respect to t?

Evaluate: ∫z0(sinx−cosx)dx ∫ 0 z ( s i n x − c o s x ) d x Where z=π4.(π=pi)

Evaluate ∫1−2(x−1)2dx

The shaded portion in the graph is represented by